41.7k views
2 votes
Find the exact length of the third side.

Find the exact length of the third side.-example-1

2 Answers

6 votes

Answer:


√(5) or 2.236

Explanation:

The pythagorem theorm states that side 1^2 + side^2 = hypotenuse^2

2^2 + 1^2 = h^2

4+1 = h^2

5 = h^2


√(5) = \sqrt{h^(2) }


√(5) =h

User Khayam Khan
by
8.0k points
4 votes

Answer:

The third side is sqrt(5)

Explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

We know the legs are 1 and 2 and we are looking for the hypotenuse.

1^2+2^2 = c^2

1+4 = c^2

5 =c^2

Take the square root of each side

sqrt(5) = sqrt(c^2)

sqrt(5) =c

The third side is sqrt(5)

User Luke Sweeney
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories